Sup Gurvinder Here

After a nice long weekend we started off the class by looking at a few pictures. The first picture was of a project that one of Mr P's grade 9 students have made, the picture was of, well i wasn't too sure what it was but it had some eqyptian numbers. The second picture was of a huge pink house, Mr. P told us that he would never want to live in a pink house becuase he didn't like the colour.

Now for what we did in class. Today in class we went on to finish off quadtractic equations, the last thing we had to cover was Transformation of Quadtractic Functions 3 and Applications(Located on page 34).

Example 1 The Formula is f(x)=a(x - h)² + k Vertex = -b/2a

f(x)=ax² + bx + c

1. Find the Vertex f(x) = ax² + bx + c

2. Factor out the a f(x) = a(x² + (b/2a)² + c

3. Complete The Square (b/a ÷ 2 )² = (b/2a)² = b²/4a²

4. Add b²/4a² to both sides f(x) = a(x² + b/a x + b²/ 4 a² + C - b²/ 4a²

5. Factor the whole equation f(x) = a(x + b/2a)² + c - b²/4a²

Awnser: H = b/2a K = C- b²/4a²

Example 2 Same Formula As Above

f(x) = 2x² - 4x + 1

1. Subsitute b by -4 and a by 2: - (-4) / 2(2)

2. Evaluate the equation: 4/4 = 1 x = 1

3. Put 1 in subsitute for x f(x) = 2(1)² - 4(1)1

4. Evaluate 2 - 4 + 1 = -1

Vertex = (1,-1)

At the end of this unit we have covered alot of stuff including Domain, Range, Vertex, Axis of Symmetry, x-intercept(s), y- intercept, Zeros, Minimum and Maximum Value, and Completing the square Perfect squares. There arer a few that i missed. Some sites that have helped me get through this unit are.

www.khanacademy.org

http://www.teachertube.com/

http://www.brightstorm.com/

Some of these sites you need to sign up but not for Khanacademy.

Homework

The Home work was to do the remaining examples from page 35 - 38.

Assignment 1 Quadratic Functions is due on October 8th which is this friday.

Sincerely Gurvinder Sidhu